Atkin-Lehner |
3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56277o |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8726016 |
Modular degree for the optimal curve |
Δ |
-9.4619714778988E+23 |
Discriminant |
Eigenvalues |
-2 3- 2 -1 2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,14506791,41689185034] |
[a1,a2,a3,a4,a6] |
Generators |
[-26394892:36043331:12167] |
Generators of the group modulo torsion |
j |
567758216450048/1591135948323 |
j-invariant |
L |
3.3384673233998 |
L(r)(E,1)/r! |
Ω |
0.06197510716178 |
Real period |
R |
6.7334843702319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18759h1 56277i1 |
Quadratic twists by: -3 13 |